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Finding the Fourth Proportional to 330.01, 494.60 and 310.32

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Solution

The fourth proportional to 330.01, 494.60 and 310.32 is: 465.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    330.01 : 494.60 = 310.32 : x
  2. Step 2: Convert to fraction form
    330.01/494.60 = 310.32/x
  3. Step 3: Cross multiply
    330.01x = 494.60 × 310.32
  4. Step 4: Simplify right side
    330.01x = 153,482.72
  5. Step 5: Solve for x
    x = 153,482.72/330.01
  6. Step 6: Final answer
    x = 465.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.